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Finding the Fourth Proportional to 119.47, 164.94 and 91.79

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Solution

The fourth proportional to 119.47, 164.94 and 91.79 is: 126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.47 : 164.94 = 91.79 : x
  2. Step 2: Convert to fraction form
    119.47/164.94 = 91.79/x
  3. Step 3: Cross multiply
    119.47x = 164.94 × 91.79
  4. Step 4: Simplify right side
    119.47x = 15,139.36
  5. Step 5: Solve for x
    x = 15,139.36/119.47
  6. Step 6: Final answer
    x = 126.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.